【摘要】：本文的主要目的是完全確定其多重典范映射是射影平面P2上的阿貝爾覆蓋的一般型極小曲面及其局部定義方程。實(shí)際上,只有二重典范映射能夠?qū)崿F(xiàn)為IP2上的有限覆蓋映射,我們給出了兩族可能合適的曲面。在文獻(xiàn)[7]中,杜榮和高云利用阿貝爾覆蓋完全確定了典范映射是射影平面IP2上的阿貝爾覆蓋的一般型極小曲面及其局部定義方程。本文可看作是這一工作的延續(xù),得到了在同構(gòu)的意義下只有兩個(gè)曲面滿足條件。最后,我們將前面的方法應(yīng)用到更一般的情形,構(gòu)造出了滿足形如aKx≡bD=bφ*H的方程的曲面。
[Abstract]:The main purpose of this paper is to completely determine that its multiplex canonical mapping is the general minimal surface of Abelian covering on the projective plane P2 and its local definition equation. In fact, only double canonical maps can be realized as finite covering maps on IP2. In [7], du Rong and Gao Yun completely determined that the canonical mapping is the general minimal surface of Abelian covering on the projective plane IP2 and its local definition equation by using the Abelian cover. This paper can be regarded as a continuation of this work and it is obtained that only two surfaces satisfy the conditions in the sense of isomorphism. Finally, we apply the previous method to the more general case, and construct a surface satisfying the equation such as aKx 鈮，

本文編號(hào)：2193106